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Finding the Third Proportional to 112,522 and 169,647

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Solution

The third proportional to 112,522 and 169,647 is: 255,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,522 : 169,647 = 169,647 : x
  2. Step 2: Convert to fraction form
    112,522/169,647 = 169,647/x
  3. Step 3: Cross multiply
    112,522x = 169,647 × 169,647
  4. Step 4: Simplify right side
    112,522x = 28,780,104,609
  5. Step 5: Solve for x
    x = 28,780,104,609/112,522
  6. Step 6: Final answer
    x = 255,773.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.